ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Prashanta Garain; Alexander Ukhlov

ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Prashanta Garain, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

Original language	American English
Pages (from-to)	207-216
Number of pages	10
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	176
Issue number	2
State	Published - 1 Aug 2022

Keywords

Carnot groups
Eigenvalue problem
Subelliptic operators

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS",

abstract = "In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the H{\"o}rmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.",

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AU - Ukhlov, Alexander

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N2 - In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

AB - In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

KW - Carnot groups

KW - Eigenvalue problem

KW - Subelliptic operators

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M3 - Article

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VL - 176

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EP - 216

JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 2

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ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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